Abstract
We examine some geometric configurations of points in designs that give rise to vectors in the codes associated with the designs. In particular we look at small sets of points in projective planes of even order that are met evenly by all the lines of the plane, and find vectors of small weight in the binary hull and in the code's orthogonal.
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Dedicated to Professor Helmut Karzel on the occasion of his 70th birthday
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Key, J.D., de Resmini, M.J. Small sets of even type and codewords. J Geom 61, 83–104 (1998). https://doi.org/10.1007/BF01237498
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DOI: https://doi.org/10.1007/BF01237498